2856729041936 has 320 divisors, whose sum is σ = 7276034304000. Its totient is φ = 1054507929600.

The previous prime is 2856729041921. The next prime is 2856729041981. The reversal of 2856729041936 is 6391409276582.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 247351490 + ... + 247363038.

It is an arithmetic number, because the mean of its divisors is an integer number (22737607200).

It is a 1-persistent number, because it is pandigital, but 2⋅2856729041936 = 5713458083872 is not.

Almost surely, 2^{2856729041936} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2856729041936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3638017152000).

2856729041936 is an abundant number, since it is smaller than the sum of its proper divisors (4419305262064).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2856729041936 is a wasteful number, since it uses less digits than its factorization.

2856729041936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11758 (or 11752 counting only the distinct ones).

The product of its (nonzero) digits is 39191040, while the sum is 62.

The spelling of 2856729041936 in words is "two trillion, eight hundred fifty-six billion, seven hundred twenty-nine million, forty-one thousand, nine hundred thirty-six".